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Fermat's Last Theorem
★★★★★Graduate+
📖Definition
For integer n ≥ 3, there are no positive integer solutions x, y, z satisfying xⁿ + yⁿ = zⁿ.
📐Formulas
xⁿ + yⁿ = zⁿ has no positive integer solutions for n ≥ 3
Fermat's Last Theorem
✏️Examples
예제 1
Are there solutions for n = 2?
📜History
Discovered by: Pierre de Fermat (conjecture), Andrew Wiles (proof) (1637 (conjecture), 1995 (proof))
Fermat wrote he had a proof in a book margin; Wiles proved it 358 years later.
⚡Applications
Number Theory
Elliptic curves, modular forms
Cryptography
Elliptic curve cryptography
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